Answer:
The measurement of the angle subtended by an arc with a length of 5/2 pi meters is 149.542°
Step-by-step explanation:
Here, the diameter of the circle = 6 m
Diameter = 2 x RADIUS
So, radius = D / 2 = 6 / 2 = 3 m
Also, the length of the arc = ( ) meters
Putting π = 3.14, we get
The length S of the arc =
or, S = 7.85 m
Let us assume the arc subtends angle Ф at the center of the circle.
⇒ S = r Ф
or, Ф =
⇒Ф = 2.61 radians
Now, 1 Radian = 57.2958 Degrees
⇒ 2. 62 Radian = 2.61 x ( 57.2958 Degrees) = 149.542 °
or, Ф = 149.542°
Hence, the measurement of the angle subtended by an arc with a length of 5/2 pi meters is 149.542°
Given:
The graph of a function.
To find:
The domain on which of the following function is increasing.
Solution:
Domain is the set of x-values or input values.
From the given graph it is clear that the vertex of the given function is at (4,75).
Before the point (4,75) the graph is increasing and after the point (4,75) the graph is decreasing.
The function is defined for .
Since the graph is increasing when , therefore the function is increasing over the interval [0,4].
Therefore, the domain on which of the following function is increasing is [0,4].
Here
Length = x+3
Breadth = x
We know
Perimeter of reatangle = 2(l+b)
Or 34 = 2( x+3+x)
Or 17 = 2x+3
Or 14 =2x
Or x= 7
Therefore
Length = 10 and breadth = 7 cm
Thank you
From ayanas
To calculate the volume, we use the data given above. For this problem we are asked to convert cups to mL.
volume = ( 2 cups) <span>225 mL / 1 cup = 450 mL
The student's error in converting is that she divide the conversion factor instead of multiplying it, wrote the conversion factor incorrectly and the units of his final answer is wrong.</span>
Put the coordinates of the points to the equations of the functions and check:
for (1, 4)
y = 5x + 4 → 4 = 5(1) + 4 → 4 = 5 + 4 → 4 = 9 FALSE
y = (x + 1)² → 4 = (1 + 1)² → 4 = 2² → 4 = 4 CORRECT
y = (x + 3)² → 4 = (1 + 3)² → 4 = 4² → 4 = 16 FALSE
y = 7x - 5 → 4 = 7(1) - 5 → 4 = 7 - 5 → 4 = 2 FALSE
Only y = (x + 1)².
Check other points:
for (2, 9)
9 = (2 + 1)² → 9 = 3² → 9 = 9 CORRECT
for (3, 16)
16 = (3 + 1)² → 16 = 4² → 16 = 16 CORRECT
<h3>Answer: Only y = (x + 1)²</h3>